Which of the following statements is correct about the solution set of a system of linear inequalities in one variable?

Correct answer: यह एक अंतराल, किरण, एकल बिंदु, समस्त वास्तविक संख्याएँ अथवा रिक्त समुच्चय हो सकता है।

Each linear inequality in one variable gives a ray, all real numbers, or an empty set. In a system, all inequalities must hold simultaneously, so we take the intersection of their solution sets. An intersection of rays or intervals is again an interval, a ray, a single point, all real numbers, or the empty set. Option B is incorrect because an AND-system cannot produce two separated non-empty intervals. Exam tip: use intersection for “and” and union for “or”.